Abstract
Optimality conditions are derived for a nonlinear fractional program in which a support function appears in the numerator and denominator of the objective function as well as in each constraint function. As an application of these optimality conditions, a dual to this program is formulated and various duality results are established under generalized convexity. Several known results are deduced as special cases.
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I.Husain is professor in the Department of Mathematics at the National Institute of Technology Srinagar (Formerly Regional Engineering College Srinagar), Kashmir, INDIA. He received his M.A. in mathematics from Banaras Hindu University, Varanasi, INDIA and Ph.D in Operations Research from Indian Institute of Technology, Delhi. His major areas of research interest are in mathematical programming including continuous time programming, generalization of convexity and optimization (optimality criteria, duality, ect.). He is author and co-author of numerous research papers on previous mentioned research fields. He has refried several research articles. He is a life member of Operational Research Society of India.
Z. Jabeen is lecturer in the Department of Mathematics, National Institute of Technology Srinagar, Kashmir, India. She has obtained M.Sc. in statistics from the University of Kashmir, Srinagr and she is pursuing her Ph.D. programme in operation research under the supervision of Prof. I.Husain.
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Husain, I., Jabeen, Z. On fractional programming containing support functions. JAMC 18, 361–376 (2005). https://doi.org/10.1007/BF02936579
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DOI: https://doi.org/10.1007/BF02936579